Deformation of a ferrofluid droplet in a simple shear flow under the effect of a constant magnetic field

Capobianchi, Paolo and Lappa, Marcello and Oliveira, Mónica S. N. (2018) Deformation of a ferrofluid droplet in a simple shear flow under the effect of a constant magnetic field. Computers and Fluids, 173. pp. 313-323. ISSN 0045-7930

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    Abstract

    Abstract: In the present work, we investigate the dynamics of a droplet of ferrofluid placed in a shear flow field subjected to the additional action produced by the application of a magnetic field in a direction perpendicular to the flow. The problem is solved in the framework of a moving-boundary method based on the solution of the Navier-Stokes equations complemented with the additional equations required for the determination of the magnetic force. The results reveal interesting changes in the trends displayed by the droplet deformation and inclination angle as a function of the capillary number when the intensity of the magnetic field is varied while maintaining flow conditions corresponding to the Stokes regime. The mechanism of droplet relaxation from equilibrium when the magnetic force is suddenly removed is also investigated. According to our numerical experiments the deformation evolves in time following a harmonic decaying process, which, in the limit of small capillary number, i.e. for very small deformations, can be fairly well represented by the temporal evolution of a simple damped harmonic oscillator.

    Author(s):Capobianchi, Paolo ORCID logoORCID: https://orcid.org/0000-0003-4253-7853, Lappa, Marcello ORCID logoORCID: https://orcid.org/0000-0002-0835-3420 and Oliveira, Mónica S. N. ORCID logoORCID: https://orcid.org/0000-0002-1836-4692
    Item type:Article
    ID code:64658
    Keywords:ferrofluid, dilute emulsions, level set-volume of fluid, droplet deformation, Mechanical engineering and machinery, Mechanical Engineering, Fluid Flow and Transfer Processes
    Subjects:Technology > Mechanical engineering and machinery
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Depositing user: Pure Administrator
    Date deposited:02 Jul 2018 14:48
    Last modified:21 Jan 2020 04:47
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/64658
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